640415232000 has 624 divisors, whose sum is σ = 2358545634432. Its totient is φ = 167087308800.

The previous prime is 640415231993. The next prime is 640415232011. The reversal of 640415232000 is 232514046.

640415232000 is a `hidden beast` number, since 6 + 40 + 415 + 2 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×640415232000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216574522 + ... + 216577478.

It is an arithmetic number, because the mean of its divisors is an integer number (3779720568).

Almost surely, 2^640415232000 is an apocalyptic number.

640415232000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640415232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179272817216).

640415232000 is an abundant number, since it is smaller than the sum of its proper divisors (1718130402432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640415232000 is a wasteful number, since it uses less digits than its factorization.

640415232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 640415232000 its reverse (232514046), we get a palindrome (640647746046).

The spelling of 640415232000 in words is "six hundred forty billion, four hundred fifteen million, two hundred thirty-two thousand".